132277680 has 240 divisors, whose sum is σ = 479460384. Its totient is φ = 32563200.

The previous prime is 132277637. The next prime is 132277709. The reversal of 132277680 is 86772231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×132277680³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236187 + ... + 1236293.

Almost surely, 2^132277680 is an apocalyptic number.

132277680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239730192).

132277680 is an abundant number, since it is smaller than the sum of its proper divisors (347182704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132277680 is a wasteful number, since it uses less digits than its factorization.

132277680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 132277680 is about 11501.2034152953. The cubic root of 132277680 is about 509.5211191076.

The spelling of 132277680 in words is "one hundred thirty-two million, two hundred seventy-seven thousand, six hundred eighty".